painespeach7296 painespeach7296
  • 01-08-2022
  • Mathematics
contestada

The formula f(x 1) = two-thirds(f(x)) defines a geometric sequence where f(1) = 18. which explicit formula can be used to model the same sequence?

Respuesta :

Tutorconsortium349 Tutorconsortium349
  • 11-08-2022

The explicit formula is Tn = 18[[tex]\frac{2}{3} ^{n-1}[/tex]]

here, we have to find n.

Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12

F(3) = 2/3 * f(2) = 2/3 * 12 = 8

F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3

F(5) = 2/3 * 16/3 = 32/9

These equations form a pattern.

That is Tn = (2/3)^(n-1)(18)

https://brainly.com/question/16948480

#SPJ4

Answer Link

Otras preguntas

what planet starts with e?
does a solution have to involve a liquid? explain.
why a flat surface of a rectangular prism called faces?
mike constructed a closed box that measures 2.5 feet long by 3 feet wide by 1.5 feet high. what is the total area of the material mike needs to construct the bo
What is 574 in expanded form
Each verb below, one noun does not go with it. Which one? 1/ discover ( the truth, a cure, DNA, gold ) 2/ make ( cars, a discovery, a phone call ) 3/ tell ( hel
three things scientists learned about earth in beginning of 1800s
What military strategy defeated cornwallis at yorktown?
true or false a trapezoid is a polygon, so all polygons are trapezoid. explain.
Each verb below, one noun does not go with it. Which one? 1/ discover ( the truth, a cure, DNA, gold ) 2/ make ( cars, a discovery, a phone call ) 3/ tell ( hel